Quiz Maths : 1ère année secondaire — 1er trimestre

Question 1 sur 10 10:00

[{"id":44966,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44967,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, où a et b sont des réels. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44968,"question":"Quel est le développement de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x + 6","option_d":"x² + x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (x + 2)(x - 3), on obtient x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44969,"question":"L'équation x² = 16 a pour solutions x = 4 et x = -4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En effet, 4² = 16 et (-4)² = 16, donc les solutions sont correctes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44970,"question":"Quelle est la pente de la droite d'équation y = -2x + 5 ?","option_a":"2","option_b":"-2","option_c":"5","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = ax + b, a représente la pente. Ici, a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44971,"question":"La factorisation de 4x² - 9 est (2x - 3)(2x + 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"4x² - 9 est une différence de carrés : (2x)² - 3² = (2x - 3)(2x + 3). La factorisation est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44972,"question":"Si f(x) = 3x - 1, quelle est l'image de 2 par f ?","option_a":"5","option_b":"6","option_c":"7","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour trouver l'image de 2, on remplace x par 2 dans f(x) : f(2) = 3*2 - 1 = 6 - 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44973,"question":"La droite d'équation y = 4x - 1 passe par le point (1, 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 1 dans l'équation, on obtient y = 4*1 - 1 = 3. Le point (1, 3) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44974,"question":"Quel est le résultat de 5x + 2x - 3x ?","option_a":"4x","option_b":"5x","option_c":"6x","option_d":"7x","option_e":"","option_f":"","bonne_reponse":"A","explication":"En combinant les termes, on obtient (5 + 2 - 3)x = 4x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44975,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 2x + 1 \u003E 5, on soustrait 1 : 2x \u003E 4, puis on divise par 2 : x \u003E 2. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]